On norm dependent positive definite functions
type: Item
instance of: scholarly article
title: On norm dependent positive definite functions
zbMATH Open document ID: 0838.43005
DOI: 10.1007/BF01294864
author: Zoltán Sasvári
published in: Monatshefte für Mathematik
publication date: 1996-01-28T00:00:00Z
full work available at URL: https://eudml.org/doc/178709
review text: In the first part of the paper, we prove a decomposition theorem for positive definite functions (Theorem 2.3) generalizing a result of de Leeuw and Glicksberg. Using this theorem, we then show (Theorem 3.1) that certain norm dependent positive definite functions are automatically continuous at every point different from zero.
Mathematics Subject Classification ID: 43A35
zbMATH DE Number: 838726
zbMATH Keywords: normed linear space
zbMATH Keywords: decomposition theorem
zbMATH Keywords: positive definite functions
MaRDI profile type: Publication
cites work: On Positive-Definite Functions
cites work: The decomposition of certain group representations
cites work: Positive definite norm dependent functions on \(\ell ^{\infty}\)
cites work: Q4291792
description: scientific article; zbMATH DE number 838726